The margin on a sale, otherwise known as the profit, may be very small. The price of anything must include that margin for profit. Minimizing the profit means lowering the price that may result in the price close to what the cost of a good or service might be to the business. If the price is less than or equal to cost, there is no profit and of course the business loses money and is out of business.

Price alters supply and demand. If the price increases, demand may lower. At the extreme, the price can be so high that demand approaches zero -- so there are few sales but large profit.

However, if the price decreases, demand may increase, and at the extreme, the price is so low that demand approaches infinity -- so there are many sales but small profit.

Furthermore, supply will be affected in the first case by having a glut of items; in the second, a scarcity. But a glut tends to force price down; a scarcity forces it up!

Specifically, your question is contingent upon the item or service itself, and what value the market places upon it. Where cost is cheap -- consider a pencil for sale -- profit is small, but millions are sold. Where cost is large -- like for a Rolls-Royce -- profit is large, but few are sold.

Whether a business gets more or less profit by lowering its prices depends on what's called price elasticity of demand. This is a measure of how much the quantity demanded goes up as prices go down (or how much it goes down as prices go up). In other words, it's about how steep the demand curve is.

If a good's price elasticity of demand is high, that means lowering the price will actually make you more money. The link I've provided shows you how to calculate the price elasticity of demand for a good.